52529904000 has 1024 divisors, whose sum is σ = 229132800000. Its totient is φ = 11573452800.

The previous prime is 52529903989. The next prime is 52529904017. The reversal of 52529904000 is 40992525.

It is a happy number.

52529904000 is a `hidden beast` number, since 5 + 2 + 529 + 90 + 40 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 87695701 + ... + 87696299.

It is an arithmetic number, because the mean of its divisors is an integer number (223762500).

Almost surely, 2^52529904000 is an apocalyptic number.

52529904000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 52529904000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114566400000).

52529904000 is an abundant number, since it is smaller than the sum of its proper divisors (176602896000).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

52529904000 is a wasteful number, since it uses less digits than its factorization.

52529904000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 673 (or 645 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The spelling of 52529904000 in words is "fifty-two billion, five hundred twenty-nine million, nine hundred four thousand".